74752154400 has 576 divisors, whose sum is σ = 305956417536. Its totient is φ = 15528268800.

The previous prime is 74752154377. The next prime is 74752154419. The reversal of 74752154400 is 445125747.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22359129 + ... + 22362471.

It is an arithmetic number, because the mean of its divisors is an integer number (531174336).

Almost surely, 2^74752154400 is an apocalyptic number.

74752154400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74752154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152978208768).

74752154400 is an abundant number, since it is smaller than the sum of its proper divisors (231204263136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74752154400 is a wasteful number, since it uses less digits than its factorization.

74752154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 39.

The spelling of 74752154400 in words is "seventy-four billion, seven hundred fifty-two million, one hundred fifty-four thousand, four hundred".